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Finding the Third Proportional to 463,878 and 661,581

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Solution

The third proportional to 463,878 and 661,581 is: 943,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,878 : 661,581 = 661,581 : x
  2. Step 2: Convert to fraction form
    463,878/661,581 = 661,581/x
  3. Step 3: Cross multiply
    463,878x = 661,581 × 661,581
  4. Step 4: Simplify right side
    463,878x = 437,689,419,561
  5. Step 5: Solve for x
    x = 437,689,419,561/463,878
  6. Step 6: Final answer
    x = 943,544.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.